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Is $ 0.3 $ the multiplicative inverse of $ 3 \frac{1}{3} $ ? Why or why not?
To do:
We have to find whether \( 0.3 \) is the multiplicative inverse of \( 3 \frac{1}{3} \).
Solution:
$3\frac{1}{3} =\frac{3\times3+1}{3}$
$=\frac{10}{3}$
We know that,
The multiplicative inverse of $\frac{a}{b}$ is $\frac{b}{a}$
Therefore,
The multiplicative inverse of $\frac{10}{3}$ is $\frac{3}{10}$.
$0.3=\frac{3}{10}$
Hence, $0.3$ is the multiplicative inverse of $3\frac{1}{3}$.
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